Search a number
-
+
3987759904 = 251773100417
BaseRepresentation
bin1110110110110000…
…0110001100100000
3101021220200012012021
43231230012030200
531131331304104
61455411311224
7200551254112
oct35554061440
911256605167
103987759904
111766a94047
129335ab514
134b722735b
1429b8893b2
15185158754
hexedb06320

3987759904 has 48 divisors (see below), whose sum is σ = 8426676888. Its totient is φ = 1850867712.

The previous prime is 3987759889. The next prime is 3987759907. The reversal of 3987759904 is 4099577893.

It can be written as a sum of positive squares in 4 ways, for example, as 3120339600 + 867420304 = 55860^2 + 29452^2 .

It is not an unprimeable number, because it can be changed into a prime (3987759907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10497 + ... + 89920.

Almost surely, 23987759904 is an apocalyptic number.

3987759904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3987759904 is an abundant number, since it is smaller than the sum of its proper divisors (4438916984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3987759904 is a wasteful number, since it uses less digits than its factorization.

3987759904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100517 (or 100509 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 61.

The square root of 3987759904 is about 63148.7126076217. The cubic root of 3987759904 is about 1585.7802358246.

The spelling of 3987759904 in words is "three billion, nine hundred eighty-seven million, seven hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 73 136 146 272 292 544 584 1168 1241 2336 2482 4964 9928 19856 39712 100417 200834 401668 803336 1606672 1707089 3213344 3414178 6828356 7330441 13656712 14660882 27313424 29321764 54626848 58643528 117287056 124617497 234574112 249234994 498469988 996939976 1993879952 3987759904